Q3/ Choose two onlya. if yasin3x + bcos3x satisfies the differential equationdy+ 4+ Зу %3D 10сosЗх, find a, b.dx2dxb. Simplify the following expressione2x1. In(=2. eln2+3lnx3. e2x+lnx4. eln(x²+1)5.ln e-1.3.(x³-8c. Let f(x)x > 2is the f(x) is continuous at x=2.x-28, х<2

For first problem i have compared the coefficient of cos3x

Q3/ Choose two only a. if y = asin3x + bcos3x satisfies the differential equation %3D d?y dy + 3y = 10cos3x, find a, b. dx2 dx b. Simplify the following expression 2x 1. In) 2. eln2+3lnx 3. e2x+lnx 4. eln(x²+1) 5.ln e-1.3. x > 2 c. Let f(x) is the f(x) is continuous at x=2. х-2 8, x< 2

Q3/ Choose two only a. if y = asin3x + bcos3x satisfies the differential equation %3D d?y dy + 3y = 10cos3x, find a, b. dx2 dx b. Simplify the following expression 2x 1. In) 2. eln2+3lnx 3. e2x+lnx 4. eln(x²+1) 5.ln e-1.3. x > 2 c. Let f(x) is the f(x) is continuous at x=2. х-2 8, x< 2

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Q3/ Choose two only
a. if y
asin3x + bcos3x satisfies the differential equation
dy
+ 4
+ Зу %3D 10сosЗх, find a, b.
dx2
dx
b. Simplify the following expression
e2x
1. In(=
2. eln2+3lnx
3. e2x+lnx
4. eln(x²+1)
5.ln e-1.3.
(x³-8
c. Let f(x)
x > 2
is the f(x) is continuous at x=2.
x-2
8, х<2

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